10943 ÷ 8 = 1367 R7
Alright, let's work through the division of 10943 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 2:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 10 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 8

Step 3:
8 goes into 29 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 24 from 29 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 8

Step 4:
8 goes into 54 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 136
Subtract 48 from 54 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 8

Step 5:
8 goes into 63 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 1367
Subtract 56 from 63 to get 7.

The final result is 1367 with a remainder of 7.